摘要翻译:
本文研究环$r=\f2/u^4-1$上任意长度的循环DNA码。给出了$R$元素与字母${A,C,G,t}$之间的映射,该映射允许加法茎距扩展到该环。R$上的循环码被设计成其映射下的图像也是索引为2的循环或拟循环。加性距离和杂化能是邻域能的函数。
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英文标题:
《On Cyclic DNA Codes》
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作者:
Kenza Guenda and T. Aaron Gulliver
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最新提交年份:
2012
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分类信息:
一级分类:Computer Science 计算机科学
二级分类:Information Theory 信息论
分类描述:Covers theoretical and experimental aspects of information theory and coding. Includes material in ACM Subject Class E.4 and intersects with H.1.1.
涵盖信息论和编码的理论和实验方面。包括ACM学科类E.4中的材料,并与H.1.1有交集。
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一级分类:Mathematics 数学
二级分类:Information Theory 信息论
分类描述:math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
它是cs.it的别名。涵盖信息论和编码的理论和实验方面。
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一级分类:Quantitative Biology 数量生物学
二级分类:Other Quantitative Biology 其他定量生物学
分类描述:Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要:
This paper considers cyclic DNA codes of arbitrary length over the ring $R=\F_2/u^4-1$. A mapping is given between the elements of $R$ and the alphabet $\{A,C,G,T\}$ which allows the additive stem distance to be extended to this ring. Cyclic codes over $R$ are designed such that their images under the mapping are also cyclic or quasi-cyclic of index 2. The additive distance and hybridization energy are functions of the neighborhood energy.
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PDF链接:
https://arxiv.org/pdf/1209.4414